To simplify the expression sin(30°) cos(90°) sin(90°) cos(30°), we first evaluate the trigonometric functions at the given angles. sin(30°) = 1/2, cos(90°) = 0, sin(90°) = 1, and cos(30°) = √3/2. Substituting these values into the expression, we get (1/2) * 0 * 1 * (√3/2) = 0. Therefore, the final result of sin(30°) cos(90°) sin(90°) cos(30°) is 0.
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cos90=0
2*7 = 14 units (the sin of 30° is 0.5 or 1/2 and 7/0.5 = 14) Sin30 = 7/H so H = 7/sin30 = 7/0.5 = 14 (third side is 12.12)
7/sin30 ie 14 units
sin(90 deg) = 0.9848, approx.
The longer leg is opposite the 60 deg angle. Suppose A = 60 deg, C = 90 deg and a and c are the corresponding sides. Then, by the sine rule a/c = sin(A)/sin(C) a/c = sin(60)/sin(90) = sqrt(3)/2